de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(dv)/(dt)=30-9/100 v,v=0,t=2

Lösung

\frac{d v}{d t} = 30 - \frac{9}{100} v, v = 0, t = 2

Lösung

v = - \frac{1000 e ^{\frac{18 - 9 t}{100}}}{3} + \frac{1000}{3}

Schritte zur Lösung

\frac{d v}{d t} = 30 - \frac{9}{100} v

Solve separable ODE:

v = - \frac{1000 e ^{\frac{18 - 9 t}{100}}}{3} + \frac{1000}{3}

v = - \frac{1000 e ^{\frac{18 - 9 t}{100}}}{3} + \frac{1000}{3}

Graph

Beliebte Beispiele

(dy)/(dx)y=(tan(x))/(1+tan(x))

\frac{d y}{d x} y = \frac{tan ( x )}{1 + tan ( x )}

(dy)/(dx)= y/x ,y=1,x=1

\frac{d y}{d x} = \frac{y}{x}, y = 1, x = 1

3x(dy)/(dx)+y= 8/(y^2)

3 x \frac{d y}{d x} + y = \frac{8}{y ^{2}}

(dy)/(dx)+5(dy)/(dx)+6y=0

\frac{d y}{d x} + 5 \frac{d y}{d x} + 6 y = 0

(dy)/(dx)=(18xy)/((ln(y))^2)

\frac{d y}{d x} = \frac{18 x y}{( ln ( y ) ) ^{2}}